A different approach to complex valued \(G_{b}\) -metric spaces

[摘要] In this work, we introduce a generalized fixed point theorem using a complex C-class function as a new tool in complex valued $G_{b}$-metric spaces. Moreover, we define $\alpha -(F,\psi ,\varphi )$-contractive type and α-admissible mapping. Then we prove a fixed point theorem using these notions and the complex C-class function. The obtained results generalize some facts in the literature.

[学科分类] 航空航天科学

[关键词] Fixed point;Complex C;class function;Complex valued \(G_{b}\) -metric space